The current i in a coil varies with time as s | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The induced $emf$ in a coil is given by $e = -L \frac{di}{dt}$.$1$. For $0 \leq t \leq \frac{T}{4}$,the $i-t$ graph is a straight line with a posi

Vedclass · Accepted Answer

Vedclass · Answer

(A) The induced $emf$ in a coil is given by $e = -L \frac{di}{dt}$.$1$. For $0 \leq t \leq \frac{T}{4}$,the $i-t$ graph is a straight line with a positive constant slope. Therefore,$\frac{di}{dt} = 	ext{constant} > 0$,which implies $e = -L \frac{di}{dt} = 	ext{negative constant}$.$2$. For $\frac{T}{4} \leq t \leq \frac{T}{2}$,the current $i$ is constant. Therefore,$\frac{di}{dt} = 0$,which implies $e = 0$.$3$. For $\frac{T}{2} \leq t \leq \frac{3T}{4}$,the $i-t$ graph is a straight line with a negative constant slope. Therefore,$\frac{di}{dt} = 	ext{constant} $4$. For $\frac{3T}{4} \leq t \leq T$,the current $i$ is zero. Therefore,$\frac{di}{dt} = 0$,which implies $e = 0$.Based on this analysis,the graph of induced $emf$ versus time shows a negative constant value for the first interval,zero for the second,a positive constant value for the third,and zero for the final interval.

List-$I$	List-$II$
$A$. Magnetic induction	$I$. $MLT^{-2}A^{-2}$
$B$. Magnetic flux	$II$. $ML^2T^{-2}A^{-2}$
$C$. Magnetic permeability	$III$. $ML^0T^{-2}A^{-1}$
$D$. Self inductance	$IV$. $ML^2T^{-2}A^{-1}$

The current $i$ in a coil varies with time as shown in the figure. The variation of induced $emf$ with time would be

Similar Questions

The current $I$ in an $A.C.$ circuit inductance coil varies with time according to the graph given below. Which one of the following graphs gives the variation of voltage with time?

$A$ magnet $NS$ is suspended from a spring and while it oscillates,the magnet moves in and out of the coil $C$. The coil is connected to a galvanometer $G$. Then as the magnet oscillates,

$A$ flexible wire bent in the form of a circle is placed in a uniform magnetic field perpendicular to the plane of the coil. The radius of the coil changes as shown in the figure. The graph of induced $emf$ in the coil is represented by

Near a circular loop of conducting wire as shown in the figure,an electron moves along a straight line. The direction of the induced current,if any,in the loop is

Match the List-$I$ with List-$II$:
List-$I$ List-$II$
$A$. Magnetic induction $I$. $MLT^{-2}A^{-2}$
$B$. Magnetic flux $II$. $ML^2T^{-2}A^{-2}$
$C$. Magnetic permeability $III$. $ML^0T^{-2}A^{-1}$
$D$. Self inductance $IV$. $ML^2T^{-2}A^{-1}$

Choose the correct answer from the options given below:

Vedclass Test Series

Exam Paper Generator

Online Exam Module